Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042db |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-717389750290397184 = -1 · 211 · 36 · 76 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28029,-40793103] |
[a1,a2,a3,a4,a6] |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
8.4310181142409 |
L(r)(E,1)/r! |
Ω |
0.12774269870238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126cs1 858f1 |
Quadratic twists by: -3 -7 |